3141444014100 has 288 divisors, whose sum is σ = 11543984748800. Its totient is φ = 717914534400.

The previous prime is 3141444014021. The next prime is 3141444014129. The reversal of 3141444014100 is 14104441413.

3141444014100 is a `hidden beast` number, since 3 + 14 + 144 + 401 + 4 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138128730 + ... + 138151470.

Almost surely, 2^{3141444014100} is an apocalyptic number.

3141444014100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141444014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771992374400).

3141444014100 is an abundant number, since it is smaller than the sum of its proper divisors (8402540734700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3141444014100 is a wasteful number, since it uses less digits than its factorization.

3141444014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30080 (or 30067 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 3141444014100 its reverse (14104441413), we get a palindrome (3155548455513).

The spelling of 3141444014100 in words is "three trillion, one hundred forty-one billion, four hundred forty-four million, fourteen thousand, one hundred".